Harmonic Motion in Earth and Moon: A Comparative Study

[SciencePF]

Suppose that, on Earth, a mass is suspended on a vertical string and is executing an harmonic motion with
Period: T
Amplitude: A
Angular frequency: \omega

Now all the system is put in the Moon. What changes that system will have?

Thanks for you help

 

[jonwell]

Recall that the period of simple harmonic motion is

, and so depends on gravity (g). Since g_moon is smaller than g_earth, the period will be greater.

 

[SciencePF]

And what goes to happen with the amplitude of motion? Equal on Earth and Moon?

 

[jonwell]

Yes, the amplitude in this case is arbitrary, it just equals A. In other words if you start a pendulum swinging on Earth by pulling it to A, then go to the moon and start it again by pulling it to A, the difference is in the period (which gets longer by the relationship above).

If you do the same experiment but want to keep the period constant, then you'll need to swing a shorter amplitude on the moon.

 

[SciencePF]

But, in this site, has a simulation, and things don't work as you said!
http://www.walter-fendt.de/ph14e/springpendulum.htm"

 

[LowlyPion]

But, in this site, has a simulation, and things don't work as you said!
http://www.walter-fendt.de/ph14e/springpendulum.htm"

I think that you mean this simulation:
http://www.walter-fendt.de/ph14e/pendulum.htm

The spring pendulum carries the spring constant wherever it goes.

 

[SciencePF]

My initial question,
-----------------------------------
Suppose that, on Earth, a mass is suspended on a vertical string and is executing an harmonic motion with
Period: T
Amplitude: A
Angular frequency: \omega
Now all the system is put in the Moon. What changes that system will have?
--------------------------------------
are about this simulation:
http://www.walter-fendt.de/ph14e/springpendulum.htm"

It seems no change will occur.

Sorry, for this post and thanks for your collaboration.